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Finding the Fourth Proportional to 496, 684.56 and 288.96

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Solution

The fourth proportional to 496, 684.56 and 288.96 is: 398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 684.56 = 288.96 : x
  2. Step 2: Convert to fraction form
    496/684.56 = 288.96/x
  3. Step 3: Cross multiply
    496x = 684.56 × 288.96
  4. Step 4: Simplify right side
    496x = 197,810.46
  5. Step 5: Solve for x
    x = 197,810.46/496
  6. Step 6: Final answer
    x = 398.81

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